Explanation Given: The chart shows the eight cylinders Acetylene pressure (in psi): Cylinder Acetylene Cylinder Pressure (in psi) A 12 B 13 C 15 D 10 E 14 F 15 G 11 H 12 Formula used: Mean: Mean = sum of the data values number of data values Standard deviation: Standard deviation ( s ) = sum of ( x − x ¯ ) 2 n − 1 In the formula, x ¯ denotes the mean, ( x − x ¯ ) denotes the deviation from the mean and n is the number of values in the set. Calculation: The data set of acetylene pressure is 12, 13, 15, 10, 14, 15, 11, and 12. The number of data values is 8. That is n = 8 . Add all the data values for ‘sum of data values’ and substitute 8 for ‘number of data values’ in the mean formula. Mean ( x ¯ ) = 12 + 13 + 15 + 10 + 14 + 15 + 11 + 12 8 = 102 8 = 12.75 The deviation from the mean and square of deviation is, Data ( x − x ¯ ) ( x − x ¯ ) 2 12 ( 12 − 12.75 ) = − 0.75 ( − 0.75 ) 2 = 0.5625 13 ( 13 − 12.75 ) = 0.25 ( 0

Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

11th Edition

ISBN: 9780134756967

Author: Hal Saunders, Robert Carman

Publisher: PEARSON

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Chapter 12.3, Problem 8EE

To determine

The standard deviation of the pressure measurements.

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Chapter 12.3, Problem 7EE

Chapter 12.3, Problem 9EE

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The standard deviation of the pressure measurements.

Solution Summary: The chart shows the eight cylinders Acetylene Cylinder Pressure (in psi).

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The standard deviation of the pressure measurements.

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